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The scale factor of dilation from ABC to is 0.333.
Step-by-step explanation:
Step 1:
First, we plot the coordinates of both triangles.
The coordinates of the triangle are as follows;
= (2, 3),
= (2, 1), and
= (3, 1).
The coordinates of triangle ABC are;
A = (4, 9), B = (4, 3), and C = (7, 3).
Step 2;
Next, we need to find the distances between at least two coordinates for both triangles.
The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.
The distance of , the distance of
.
The distance of AB the distance of BC
Step 3;
To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, it is the length of the AB.
So The scale factor for AB =
The scale factor for BC =
The car takes the time 5.5 hours i.e.5 hours and 30 minutes to travel 462 kilometres when the car travels at average speed of 84 kilometres per hour
Given the average speed of the car is 84 kilometres per hour and the distance to be travelled is 462 kilometres and asked to find the time taken for the journey of 462 kilometres
To calculate the time taken for the journey we use the below-mentioned formula
(speed)×(Time taken)=distance
Time taken=
Time taken=5.5 hours i.e.5 hours and 30 minutes
As a result, the time spent on the car journey is 5.5 hours
Hence, It takes the time 5hours and 5 minutes to travel 462 kilometres
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